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IM Geo.2.2 Practice: Congruent Parts, Part 2

Line is a line of symmetry for figure . Noah says that  is congruent to  because sides  and  are corresponding. Why is Noah’s congruence statement incorrect?

Write a correct congruence statement for the pentagons.

Figure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K. Draw a segment in figure AFEKJB to create a quadrilateral.

Figure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K. Draw the image of the segment when rotated 90 degrees counterclockwise about point K.

Write a congruence statement for the quadrilateral you created in figure  and the image of the quadrilateral in figure .

Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K.

Select all statements that must be true.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

When triangle ABC is reflected across line AB, the image is triangle ABD.

Why are segment  and segment  congruent?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Elena needs to prove angles BED and BCA are congruent.

Provide reasons to support each of her statements.

Line  is parallel to line .

Angles  and  are congruent.

Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF.

Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

This design began from the construction of a regular hexagon. Draw 1 segment so the diagram has another hexagon that is congruent to hexagon ABCIHG.

Explain why the hexagons are congruent.